Name
Abstract | ||
|---|---|---|
In this paper, we study a repairable K-out-of-M+W retrial system with M identical primary components, W standby components and one repair facility. The time-to-failure and time-to-repair of the primary and standby components are assumed to be exponential and general distributions, respectively. The failed components are immediately for repair if the server is idle, otherwise the failed machines would enter an orbit. It is assumed that the retrial times are exponentially distributed. We present a recursive method using the supplementary variable technique and treating the supplementary variable as the remaining repair time to obtain the steady-state probabilities of down components at arbitrary epoch. Then, a unified and efficient algorithm is developed to compute the steady-state availability. The method is illustrated analytically for the exponential repair time distribution. Sensitivity analysis of the steady-state availability with respect to system parameters for a variety of repair time distributions is also investigated. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1080/00207160.2013.783695 | Int. J. Comput. Math. |
Keywords | Field | DocType |
warm standby component,exponential repair time distribution,w retrial system,w standby component,repairable retrial system,steady-state probability,repair time distribution,steady-state availability,m identical primary component,remaining repair time,retrial time,repair facility | Orbit,Time distribution,Applied mathematics,Mathematical optimization,Exponential function,Idle,Real-time computing,Exponential distribution,Mathematics,Recursion | Journal |
Volume | Issue | ISSN |
90 | 11 | 0020-7160 |
Citations | PageRank | References |
2 | 0.40 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jau-Chuan Ke | 1 | 348 | 44.17 |
| Dong-Yuh Yang | 2 | 62 | 9.79 |
| Shey-huei Sheu | 3 | 590 | 71.39 |
| Ching-Chang Kuo | 4 | 7 | 1.46 |